Finding the Third Proportional to 15,294.50 and 21,538.25

Step by Step Solution

1. Step 1: Write the proportion equation
   15,294.50 : 21,538.25 = 21,538.25 : x
2. Step 2: Convert to fraction form
   15,294.50/21,538.25 = 21,538.25/x
3. Step 3: Cross multiply
   15,294.50x = 21,538.25 × 21,538.25
4. Step 4: Simplify right side
   15,294.50x = 463,896,213.06
5. Step 5: Solve for x
   x = 463,896,213.06/15,294.50
6. Step 6: Final answer
   x = 30,330.92